Finding the Third Proportional to 89,152.50 and 185,777.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,152.50 : 185,777.25 = 185,777.25 : x
2. Step 2: Convert to fraction form
   89,152.50/185,777.25 = 185,777.25/x
3. Step 3: Cross multiply
   89,152.50x = 185,777.25 × 185,777.25
4. Step 4: Simplify right side
   89,152.50x = 34,513,186,617.56
5. Step 5: Solve for x
   x = 34,513,186,617.56/89,152.50
6. Step 6: Final answer
   x = 387,125.28